Impact of adsorbate–substrate interaction on nanostructured thin films growth during low-pressure condensation

• Alina V. Dvornichenko,
• Vasyl O. Kharchenko and
• Dmitrii O. Kharchenko

Beilstein J. Nanotechnol. 2025, 16, 473–483, doi:10.3762/bjnano.16.36

• reactions of adatoms between neighbor layers acts in the opposite manner to the adsorption coefficient [41]. An applied external electric field can affect the type and size of the surface structures [37][42][43]. Anisotropy of surface diffusion, induced by properties of the substrate, can lead to fractal

Effect of wavelength and liquid on formation of Ag, Au, Ag/Au nanoparticles via picosecond laser ablation and SERS-based detection of DMMP

• Sree Satya Bharati Moram,
• Chandu Byram and
• Venugopal Rao Soma

Beilstein J. Nanotechnol. 2024, 15, 1054–1069, doi:10.3762/bjnano.15.86

• detection of DMMP (1.2 ppm V) in the vapor phase using Glass_Ag_Au NPs, 3D fractal microstructure substrates developed by corner lithography and anisotropic wet etching of silicon using the 785 nm as the Raman excitation. When UV excitation was utilized during the measurements, the Raman peak intensities

Exploring disorder correlations in superconducting systems: spectroscopic insights and matrix element effects

• Vyacheslav D. Neverov,
• Alexander E. Lukyanov,
• Andrey V. Krasavin,
• Alexei Vagov,
• Boris G. Lvov and
• Mihail D. Croitoru

Beilstein J. Nanotechnol. 2024, 15, 199–206, doi:10.3762/bjnano.15.19

• kind of X-ray microscopy and has come to the conclusion that such fractal structures boost superconductivity. In particular, the work demonstrates that this material has a small number of very highly ordered regions and larger numbers of disordered regions, with a power-law distribution describing them

• . This is the hallmark of a scale-free distribution, which is typical of a fractal pattern where stripes with oxygen form a similar structure on all scales up to 400 μm. The exploration of superconductivity in the presence of spatially correlated disorder has recently been initiated, as evidenced by the

• localization of Cooper pairs near the transition. In addition, in the presence of significant disorder, almost localized electronic wave functions show their fractal nature [50], which leads to an increase of the interaction matrix elements near the superconductor–insulator transition. This work elucidates how

Roll-to-roll fabrication of superhydrophobic pads covered with nanofur for the efficient clean-up of oil spills

• Patrick Weiser,
• Robin Kietz,
• Marc Schneider,
• Matthias Worgull and
• Hendrik Hölscher

Beilstein J. Nanotechnol. 2022, 13, 1228–1239, doi:10.3762/bjnano.13.102

• a significant increase of the contact angle of water droplets. The fractal structure minimizes contact area as well as adhesion forces between surface and water droplet, thereby equipping the surface with self-cleaning properties equivalent to the lotus effect [24]. Additionally, the high increase

• which the polymer traveled through the calender. Fabrication of nanopads It is a remarkable quality of nanofur that it is superhydrophobic and oleophilic at the same time. Nonpolar liquids are immediately absorbed by the fractal polymeric surface while polar liquids are repelled [16]. Consequently

Reliable fabrication of transparent conducting films by cascade centrifugation and Langmuir–Blodgett deposition of electrochemically exfoliated graphene

• Teodora Vićentić,
• Stevan Andrić,
• Vladimir Rajić and
• Marko Spasenović

Beilstein J. Nanotechnol. 2022, 13, 666–674, doi:10.3762/bjnano.13.58

• made from a solution that has been centrifuged at 5 krpm (2289g) is strikingly different from the ones made with lower centrifugation speeds. The 5 krpm (2289g) film has an irregular structure, resembling a fractal coastline. It is also noted that the conductivity of this film is much lower than those

Morphology-driven gas sensing by fabricated fractals: A review

• Vishal Kamathe and
• Rupali Nagar

Beilstein J. Nanotechnol. 2021, 12, 1187–1208, doi:10.3762/bjnano.12.88

• , morphologies, and gas analytes. The focus is to investigate the morphology-driven gas response of these fab-fracs and identify key parameters of fractal geometry in influencing gas response. Fab-fracs with roughened microstructure, pore-network connectivity, and fractal dimension (D) less than 2 are projected

• to be possessing better gas sensing capabilities. Fab-fracs with these salient features will help in designing the commercial gas sensors with better performance. Keywords: adsorption sites; fabricated fractal; fractal dimension; gas sensor; morphology; pore network; recovery time; response time

• gas sensors exist [26][30][31]. Although there are numerous reviews on gas sensing [7][29][32][33][34][35][36][37][38], reviews on fabricated fractal (fab-frac)-based gas sensors have not been addressed to the best of our knowledge. In this review, diverse fractal structures used in gas sensing

Irradiation-driven molecular dynamics simulation of the FEBID process for Pt(PF₃)₄

• Alexey Prosvetov,
• Alexey V. Verkhovtsev,
• Gennady Sushko and
• Andrey V. Solov’yov

Beilstein J. Nanotechnol. 2021, 12, 1151–1172, doi:10.3762/bjnano.12.86

Physical constraints lead to parallel evolution of micro- and nanostructures of animal adhesive pads: a review

• Thies H. Büscher and
• Stanislav N. Gorb

Beilstein J. Nanotechnol. 2021, 12, 725–743, doi:10.3762/bjnano.12.57

• convergent results. In the next subsections we discuss the following functional principles: (1) Adaptation to fractal substrate surfaces due to hierarchical organization and thin surface layer, (2) micro- and nanostructural surface pattern and contact splitting, (3) pad material (structure) that is soft

• under compression but strong under tension, (4) anisotropy in fibre orientation, and (5) presence of fluid in the contact area. Adaptation to fractal substrate surfaces due to hierarchical organization Hairs with high aspect ratios in the hairy systems and internal fibres/filaments of smooth systems

A review of defect engineering, ion implantation, and nanofabrication using the helium ion microscope

• Frances I. Allen

Beilstein J. Nanotechnol. 2021, 12, 633–664, doi:10.3762/bjnano.12.52

Gas sorption porosimetry for the evaluation of hard carbons as anodes for Li- and Na-ion batteries

• Yuko Matsukawa,
• Fabian Linsenmann,
• Maximilian A. Plass,
• George Hasegawa,
• Katsuro Hayashi and
• Tim-Patrick Fellinger

Beilstein J. Nanotechnol. 2020, 11, 1217–1229, doi:10.3762/bjnano.11.106

• (Figure 3b) and increasing CPVCO2 (Figure 4a,b) points to the fractal nature of HCs, meaning that at such small pore sizes a strict definition of surface area cannot be applied, as reflected in the preferred use of the term “apparent surface area” [36][37]. Another interesting observation is that the pore

The different ways to chitosan/hyaluronic acid nanoparticles: templated vs direct complexation. Influence of particle preparation on morphology, cell uptake and silencing efficiency

• Arianna Gennari,
• Julio M. Rios de la Rosa,
• Erwin Hohn,
• Maria Pelliccia,
• Enrique Lallana,
• Roberto Donno,
• Annalisa Tirella and
• Nicola Tirelli

Beilstein J. Nanotechnol. 2019, 10, 2594–2608, doi:10.3762/bjnano.10.250

• all a higher aspect ratio (Rg/RH) and a lower fractal dimension. We then compared the kinetics of uptake and the (antiluciferase) siRNA delivery performance in murine RAW 264.7 macrophages and in human HCT-116 colorectal tumor cells. The preparative method (and therefore the internal particle

• for a hard, uniform sphere, 1.0 for vesicles with thin walls (hollow spheres), close to 1.5 for random polymer coil conformations [23][24]. Fractal dimension (D). When applied to particulates, the fractal geometry analysis is another important morphological indicator. For example, aggregation of

• colloidal suspensions typically produces objects for which the mass can be expressed as fractal power of the size (mass fractals [25][26]), i.e., where Dm (≤3) is the so-called mass fractal dimension of the particle aggregate system [27]. For instance, this parameter takes values greater than 2.5 for

The importance of design in nanoarchitectonics: multifractality in MACE silicon nanowires

• Stefania Carapezzi and
• Anna Cavallini

Beilstein J. Nanotechnol. 2019, 10, 2094–2102, doi:10.3762/bjnano.10.204

• self-assembly. Then, we have studied the surfaces of the nanoarchitectures by means of multifractal analysis. We have found that these systems are not simple monofractals, but that the more complex paradigm of multifractality (different fractal dimensions across different scales) has to be applied to

• -generated morphologies, in order to be able to discriminate among them and possibly to relate them to growth procedures from one side and to physical properties from another side. In this regard, fractal analysis [20] is an analytical framework fit for the purpose. Indeed, self-assembled patterns derived

• from aggregative processes, which are omnipresent in nature, have been characterized by their fractal dimension [21][22][23] that contains information about their geometrical structure at multiple scales. However, sometimes the richness of the organization of shape is such that it is impossible to

Revisiting semicontinuous silver films as surface-enhanced Raman spectroscopy substrates

• Malwina Liszewska,
• Bogusław Budner,
• Małgorzata Norek,
• Bartłomiej J. Jankiewicz and
• Piotr Nyga

Beilstein J. Nanotechnol. 2019, 10, 1048–1055, doi:10.3762/bjnano.10.105

• glancing-angle deposition (GLAD) has been explored for the fabrication of vertical nanorods on planar substrates [38]. A special class of nanostructured surfaces are semicontinuous silver films (SSFs) [39][40] also known as metal island films [41], which are comprised of random fractal-type structures

• isolated particles. As the thickness increases the nanoparticles grow and their total number (per surface area) decreases (samples B–D). Next, the particles connect forming irregular fractal type shapes (samples E, F). As the amount of deposited metal further increases the metal coverage increases and the

Features and advantages of flexible silicon nanowires for SERS applications

• Hrvoje Gebavi,
• Vlatko Gašparić,
• Dubravko Risović,
• Nikola Baran,
• Paweł Henryk Albrycht and
• Mile Ivanda

Beilstein J. Nanotechnol. 2019, 10, 725–734, doi:10.3762/bjnano.10.72

• . The morphology changes were described by fractal dimension and lacunar analyses and correlated with the duration of Ag plating and SERS measurements. SERS examination showed the optimal intensity values for SiNWs thickness values of 60–100 nm. That is, when the flexibility of the self-assembly SiNWs

• all experiments, a long-working-distance 50×/0.75 objective was used. The exposition time was 10 or 20 s per scan. For the determination of fractal dimension and lacunarity, we used the ImageJ software [25] with the FracLac plugin. The data were extracted from grey-scale images using ‘Box Counting

• – ‘Differential volume Plus1’ for grey-scale image analyses with “black background” as fixed option. The program operates with the equation: D = 3 − (s/2), where s is the regression-line slope, and for the average fractal dimension, where the summation is over all grids. Results and Discussion Dependence of SERS

Heating ability of magnetic nanoparticles with cubic and combined anisotropy

• Nikolai A. Usov,
• Mikhail S. Nesmeyanov,
• Elizaveta M. Gubanova and
• Natalia B. Epshtein

Beilstein J. Nanotechnol. 2019, 10, 305–314, doi:10.3762/bjnano.10.29

• taking into account both thermal fluctuations of the particle magnetic moments and strong magneto–dipole interaction in assemblies of fractal-like clusters of nanoparticles. Similar calculations are also performed for assemblies of slightly elongated magnetite nanoparticles having combined magnetic

• anisotropy. A substantial dependence of the SAR on the nanoparticle diameter is obtained for all cases investigated. Due to the influence of the magneto–dipole interaction, the SAR of fractal clusters of nanoparticles decreases considerably in comparison with that for weakly interacting nanoparticles

• . However, the ability of magnetic nanoparticle assemblies to generate heat can be improved if the nanoparticles are covered by nonmagnetic shells of appreciable thickness. Keywords: fractal clusters; magnetite nanoparticles; magneto–dipole interaction; numerical simulation; specific absorption rate

Mechanism of silica–lysozyme composite formation unravelled by in situ fast SAXS

• Tomasz M. Stawski,
• Daniela B. van den Heuvel,
• Rogier Besselink,
• Dominique J. Tobler and
• Liane G. Benning

Beilstein J. Nanotechnol. 2019, 10, 182–197, doi:10.3762/bjnano.10.17

• for Seff(q,ri) (Equation 17) is expressed as the sum between the structure function of an aggregate (“template”), Sagg(q), and the structure factor of the internal arrangement of the aggregate, Sint(q), which in our case becomes subsisted by SSHS(q) (Equations 5–14): where D is a fractal dimension

• evolution of the fractal dimension (parameter D; Figure 4E) suggests that initially (up to 50 s), the aggregates have a relatively open morphology with D < 2.4 and characterized by a limited contribution of due to ν < 0.1 (Figure 4C). Afterwards (after more than 50 s), the aggregates reached an

• within ca. four data frames (ca. 200 ms). The so-formed network initially has no internal correlations, as is expected for a classical mass fractal [46]. However soon after (ca. 1 s), areas of correlated NPs–LZM domains start forming within the network and the increase in the internal volume fraction, ν

Recent highlights in nanoscale and mesoscale friction

• Andrea Vanossi,
• Dirk Dietzel,
• Andre Schirmeisen,
• Ernst Meyer,
• Rémy Pawlak,
• Thilo Glatzel,
• Marcin Kisiel,
• Shigeki Kawai and
• Nicola Manini

Beilstein J. Nanotechnol. 2018, 9, 1995–2014, doi:10.3762/bjnano.9.190

• structural phase transition in frustrated systems [39], from a free-sliding arrangement of the chain to a pinned fractal-like atomic configuration [82][150]. Compared to standard experimental tribology techniques with inherent limitations of the dynamic range, time resolution, and control at the single-atom

Colorimetric detection of Cu²⁺ based on the formation of peptide–copper complexes on silver nanoparticle surfaces

• Gajanan Sampatrao Ghodake,
• Surendra Krishna Shinde,
• Rijuta Ganesh Saratale,
• Avinash Ashok Kadam,
• Ganesh Dattatraya Saratale,
• Asad Syed,
• Fuad Ameen and
• Dae-Young Kim

Beilstein J. Nanotechnol. 2018, 9, 1414–1422, doi:10.3762/bjnano.9.134

• decrease or increase in the absorbance was detected at all tested concentrations of Cu2+. In contrast, in an earlier report, the realization of fractal growth of the AuNP aggregates occurred for tryptophan–Mg2+ coordination complexes [29]. As can be seen in Figure 6d, the absorbance intensity at 520 nm

Review on nanoparticles and nanostructured materials: history, sources, toxicity and regulations

• Jaison Jeevanandam,
• Ahmed Barhoum,
• Yen S. Chan,
• Alain Dufresne and
• Michael K. Danquah

Beilstein J. Nanotechnol. 2018, 9, 1050–1074, doi:10.3762/bjnano.9.98

• ”, “denticles” and “fractal”. The setae are needle or hair-like structures with a high aspect ratio; a denticle is structured with morphology ranging from smaller hemispherical to taller fractal; pillars are fine irregular nanoscale projections [223]. SEM images and photographs of various insect species and

• sophisticated fractal and layered cuticle patterns possess superhydrophobic properties. These structural types are composed of the hierarchical structure which may be responsible for increasing the surface hydrophobicity [194]. Moreover, the colors of butterflies are attributed to their fine wing structure

Optimal fractal tree-like microchannel networks with slip for laminar-flow-modified Murray’s law

• Dalei Jing,
• Shiyu Song,
• Yunlu Pan and
• Xiaoming Wang

Beilstein J. Nanotechnol. 2018, 9, 482–489, doi:10.3762/bjnano.9.46

• Institute of Technology, Harbin, 150001, P. R. China, School of Electrical Engineering and Automation, Harbin Institute of Technology, Harbin, 150001, P. R. China 10.3762/bjnano.9.46 Abstract The fractal tree-like branched network is an effective channel design structure to reduce the hydraulic resistance

• as compared with the conventional parallel channel network. In order for a laminar flow to achieve minimum hydraulic resistance, it is believed that the optimal fractal tree-like channel network obeys the well-accepted Murray’s law of βm = N−1/3 (βm is the optimal diameter ratio between the daughter

• some solid–liquid interfaces for the optimal design of the fractal tree-like channel network. The present work reinvestigates Murray’s law for laminar flow in a fractal tree-like microchannel network considering slip condition. It is found that the slip increases the complexity of the optimal design of

A comparative study of the nanoscale and macroscale tribological attributes of alumina and stainless steel surfaces immersed in aqueous suspensions of positively or negatively charged nanodiamonds

• Colin K. Curtis,
• Antonin Marek,
• Alex I. Smirnov and
• Jacqueline Krim

Beilstein J. Nanotechnol. 2017, 8, 2045–2059, doi:10.3762/bjnano.8.205

• : additives; alumina; aqueous colloids; fractal; friction; lubricants; nanodiamond; nanotribology; quartz crystal microbalance; stainless steel; Introduction Interest in nanoparticles as eco-friendly lubricant additives has grown tremendously in recent years [1][2]. The field is driven in a large part by a

• ,yi). The height profiles were quantified by the rms roughness value σ, which is virtually always dependent on the size of the area sampled below a characteristic lateral correlation length ξ. For a self-affine fractal surface the rms roughness increases with the lateral length of the sampled area as

• σ LH, where H is the roughness exponent whose value lies between 0 and 1. Fractal surfaces are often characterized by self-affine fractal dimension D = 3 − H [31][32][33]. Self-affine surfaces have an upper horizontal cut-off length (the lateral correlation length (ξ)) above which the rms roughness

Evaluation of preparation methods for suspended nano-objects on substrates for dimensional measurements by atomic force microscopy

• Petra Fiala,
• Daniel Göhler,
• Benno Wessely,
• Michael Stintz,
• Giovanni Mattia Lazzerini and
• Andrew Yacoot

Beilstein J. Nanotechnol. 2017, 8, 1774–1785, doi:10.3762/bjnano.8.179

• analyses of several hundreds of particles per material. The direct comparison between the mean values of nA,exp and nA,PR shows that the experimental values were mostly below 1, i.e., the samples contained fewer particles than theoretical predicted. The fractal TiO2 particles are an exception because of

• particles (60 nm) and b) Au rods (25 × 77 nm) prepared on Si wafers by conventional drop-drying. SEM images of a) spherical Ag particles (50 nm) and b) fractal TiO2 particles (<150 nm) prepared on Si wavers by conventional drop-drying. SEM overview image of spherical SiO2 particles (100 nm) prepared on Si

• (100 nm) and b) fractal TiO2 particles (<150 nm) prepared on Si wafers by electrostatic precipitation. AFM analyses: a) AFM image and b) distribution of measured heights for spherical SiO2 particles (100 nm) deposited on Si waver. Overview of analysed nanomaterials and their characteristics. Analysed

Needs and challenges for assessing the environmental impacts of engineered nanomaterials (ENMs)

• Michelle Romero-Franco,
• Hilary A. Godwin,
• Muhammad Bilal and
• Yoram Cohen

Beilstein J. Nanotechnol. 2017, 8, 989–1014, doi:10.3762/bjnano.8.101

Near-field surface plasmon field enhancement induced by rippled surfaces

• Mario D’Acunto,
• Francesco Fuso,
• Ruggero Micheletto,
• Makoto Naruse,
• Francesco Tantussi and
• Maria Allegrini

Beilstein J. Nanotechnol. 2017, 8, 956–967, doi:10.3762/bjnano.8.97

• processes or self-organization have been demonstrated to be an excellent and relatively low-cost alternative, allowing maskless patterning of macroscopic surface areas [18]. Many of such techniques lead to typical patterns including fractal surfaces. Regular, or nearly regular, nanoscale ripples have width

• ion-beam sputtering (IBS) generally show a fractal structure, the function C in Equation 13 is chosen to be Gaussian, that is, a special case of a fractal surface with the Hurst exponent equal to one [47]: where a is known as the transverse autocorrelation length, as it describes the mean length

Streptavidin-coated gold nanoparticles: critical role of oligonucleotides on stability and fractal aggregation

• Roberta D'Agata,
• Pasquale Palladino and
• Giuseppe Spoto

Beilstein J. Nanotechnol. 2017, 8, 1–11, doi:10.3762/bjnano.8.1

• that ODNs displaced from the functionalized AuNP surface lead to fractal aggregation of nanoparticles, which is here described for the first time on the basis of ODN displacement from the AuNP surface, in agreement with the previously reported depletion attractions between hard colloidal silica spheres

• process with free biotin. The displacement process detected by adsorption spectroscopy has been confirmed by SPR measurements. Experiments showed the important role played by the displaced oligonucleotide in triggering the fractal aggregation of functionalized nanoparticles, and the difference of the